{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:CTAPGQMAFEQHOKFQSP6HBWIQOS","short_pith_number":"pith:CTAPGQMA","canonical_record":{"source":{"id":"1301.0438","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"nlin.SI","submitted_at":"2013-01-03T12:34:31Z","cross_cats_sorted":[],"title_canon_sha256":"bb57c22b80c23b33aa138cc93e0a0a0492d0db940e053c6ccbc65030f9aee1e1","abstract_canon_sha256":"383c57918cdcce84c1bf47749ff5c91a4dbbbcebbbae2181b51725123ad759dd"},"schema_version":"1.0"},"canonical_sha256":"14c0f3418029207728b093fc70d91074b8d0e26fc6acd55c39ec3e1c2df64045","source":{"kind":"arxiv","id":"1301.0438","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0438","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0438v1","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0438","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"pith_short_12","alias_value":"CTAPGQMAFEQH","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CTAPGQMAFEQHOKFQ","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CTAPGQMA","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:CTAPGQMAFEQHOKFQSP6HBWIQOS","target":"record","payload":{"canonical_record":{"source":{"id":"1301.0438","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"nlin.SI","submitted_at":"2013-01-03T12:34:31Z","cross_cats_sorted":[],"title_canon_sha256":"bb57c22b80c23b33aa138cc93e0a0a0492d0db940e053c6ccbc65030f9aee1e1","abstract_canon_sha256":"383c57918cdcce84c1bf47749ff5c91a4dbbbcebbbae2181b51725123ad759dd"},"schema_version":"1.0"},"canonical_sha256":"14c0f3418029207728b093fc70d91074b8d0e26fc6acd55c39ec3e1c2df64045","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:19.634637Z","signature_b64":"2FEM/YJUebuibuytUr0Q0f25HpnNogMzzrQqF9+3qm75sq9Ck7VUX93i2V8nh7n/evl+CCdkWorSpkIhSf/NDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"14c0f3418029207728b093fc70d91074b8d0e26fc6acd55c39ec3e1c2df64045","last_reissued_at":"2026-05-18T03:37:19.633950Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:19.633950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.0438","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:37:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0PZfJK+AD6OvkRa3G0GbGyL2bNEIc3ns2THEAY/rV+FbE8aRy0X30KTBS0WHX+SUFORtLwDgqX1OevQzk7GgBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T19:02:35.530386Z"},"content_sha256":"13875b02589cb86c6e435f9b6c80fd36bfa62d8790aa00ea8fe256cfc8e69612","schema_version":"1.0","event_id":"sha256:13875b02589cb86c6e435f9b6c80fd36bfa62d8790aa00ea8fe256cfc8e69612"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:CTAPGQMAFEQHOKFQSP6HBWIQOS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-local symmetries of the Hirota-Satsuma coupled KdV system and their applications","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Junchao Chen, Xiangpeng Xin, Yong Chen","submitted_at":"2013-01-03T12:34:31Z","abstract_excerpt":"The nonlocal symmetry is derived from the known Darboux transformation (DT) of the Hirota-Satsuma coupled KdV (HS-cKdV) system, and infinitely many nonlocal symmetries are obtained by introducing some internal parameters. By extending the HS-cKdV system to an auxiliary system with five dependent variables, the prolongation is found to localize the nonlocal symmetry related to the DT. Base on the enlarged system, the finite symmetry transformations and similarity reductions about the local symmetries are computed, which lead to some novel exact solutions of the HS-cKdV system. These solutions c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0438","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:37:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iNZfw4WYdTCJf2czu8OnDaX2Thv3jBmsDqZyLFT5VKjSIgA7hWqwUsVz3Atjyk3T1FxHOfxF14yXdwn+VTAtBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T19:02:35.531153Z"},"content_sha256":"f303761dd06500dfe50d53dacb87f38959fa01458e6ae4c2cca51062c6d90ae1","schema_version":"1.0","event_id":"sha256:f303761dd06500dfe50d53dacb87f38959fa01458e6ae4c2cca51062c6d90ae1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CTAPGQMAFEQHOKFQSP6HBWIQOS/bundle.json","state_url":"https://pith.science/pith/CTAPGQMAFEQHOKFQSP6HBWIQOS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CTAPGQMAFEQHOKFQSP6HBWIQOS/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-23T19:02:35Z","links":{"resolver":"https://pith.science/pith/CTAPGQMAFEQHOKFQSP6HBWIQOS","bundle":"https://pith.science/pith/CTAPGQMAFEQHOKFQSP6HBWIQOS/bundle.json","state":"https://pith.science/pith/CTAPGQMAFEQHOKFQSP6HBWIQOS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CTAPGQMAFEQHOKFQSP6HBWIQOS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CTAPGQMAFEQHOKFQSP6HBWIQOS","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"383c57918cdcce84c1bf47749ff5c91a4dbbbcebbbae2181b51725123ad759dd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"nlin.SI","submitted_at":"2013-01-03T12:34:31Z","title_canon_sha256":"bb57c22b80c23b33aa138cc93e0a0a0492d0db940e053c6ccbc65030f9aee1e1"},"schema_version":"1.0","source":{"id":"1301.0438","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0438","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0438v1","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0438","created_at":"2026-05-18T03:37:19Z"},{"alias_kind":"pith_short_12","alias_value":"CTAPGQMAFEQH","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CTAPGQMAFEQHOKFQ","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CTAPGQMA","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:f303761dd06500dfe50d53dacb87f38959fa01458e6ae4c2cca51062c6d90ae1","target":"graph","created_at":"2026-05-18T03:37:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The nonlocal symmetry is derived from the known Darboux transformation (DT) of the Hirota-Satsuma coupled KdV (HS-cKdV) system, and infinitely many nonlocal symmetries are obtained by introducing some internal parameters. By extending the HS-cKdV system to an auxiliary system with five dependent variables, the prolongation is found to localize the nonlocal symmetry related to the DT. Base on the enlarged system, the finite symmetry transformations and similarity reductions about the local symmetries are computed, which lead to some novel exact solutions of the HS-cKdV system. These solutions c","authors_text":"Junchao Chen, Xiangpeng Xin, Yong Chen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"nlin.SI","submitted_at":"2013-01-03T12:34:31Z","title":"Non-local symmetries of the Hirota-Satsuma coupled KdV system and their applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0438","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:13875b02589cb86c6e435f9b6c80fd36bfa62d8790aa00ea8fe256cfc8e69612","target":"record","created_at":"2026-05-18T03:37:19Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"383c57918cdcce84c1bf47749ff5c91a4dbbbcebbbae2181b51725123ad759dd","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"nlin.SI","submitted_at":"2013-01-03T12:34:31Z","title_canon_sha256":"bb57c22b80c23b33aa138cc93e0a0a0492d0db940e053c6ccbc65030f9aee1e1"},"schema_version":"1.0","source":{"id":"1301.0438","kind":"arxiv","version":1}},"canonical_sha256":"14c0f3418029207728b093fc70d91074b8d0e26fc6acd55c39ec3e1c2df64045","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"14c0f3418029207728b093fc70d91074b8d0e26fc6acd55c39ec3e1c2df64045","first_computed_at":"2026-05-18T03:37:19.633950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:19.633950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2FEM/YJUebuibuytUr0Q0f25HpnNogMzzrQqF9+3qm75sq9Ck7VUX93i2V8nh7n/evl+CCdkWorSpkIhSf/NDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:19.634637Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.0438","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13875b02589cb86c6e435f9b6c80fd36bfa62d8790aa00ea8fe256cfc8e69612","sha256:f303761dd06500dfe50d53dacb87f38959fa01458e6ae4c2cca51062c6d90ae1"],"state_sha256":"efd5380e02a5d2a5f1a95e2ce9793c0f589dfb34b112dd7547222bca3558792c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e+4wum3RVK25e7kEqQPZyKVuGejg7c4FmJhHQn7Wcgjwkk+wuADpfYCkwxo0NFK03eudG631N57Ae9VCj7flBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T19:02:35.536388Z","bundle_sha256":"1584690ec3166a7ad09029229709644abd032a935aa9c1dce805759e5e140ac3"}}